The Distribution Function of the Weak Beam Taking the Interaction with the Strong One into Account
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Developing the idea of fast particle mixing due to a strong nonlinearity of the beam--beam interaction, the distribution function of the weak bunch in the phase space of vertical motion is found. The features of this distribution are discussed and compared to the Gaussian one.Cite
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Our main purpose is to introduce the notion of almost α(Λ, sp)-continuous multifunctions. Moreover, some characterizations of almost α(Λ, sp)-continuous multifunctions are established.
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The aim of the present paper is to give some general surjectivity theorems for multifunctions using tangent cones and generalized differentiability assumptions.
Tangent cone
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In this paper we consider a generalization to analytic multifunctions of the classical Hardy space theory of analytic functions on the unit disc. With \K(lambda) = sup (\z\; z is an element of K(lambda)) we define the Nevanlinna class N and the classes H
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In this paper, some properties of an order induced by uninorms are investigated. In this aim, the set of incomparable elements with respect to the $U$-partial order for any uninorm is introduced and studied. Also, by defining such an order, an equivalence relation on the class of uninorms is defined and this equivalence is deeply investigated. Finally, another set of incomparable elements with respect to the $U$-partial order for any uninorm is introduced and studied.
Equivalence relation
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